Results 21 to 30 of about 698 (72)
Interval estimates of functionals in time‐delay systems with uncertainty
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 56, Page 3573-3590, 2003., 2003 We consider a linear dynamical system with delay and uncertainty in initial data and movement and measurement equations. We present an algorithm of estimating an interval of possible values of functionals on solutions. We construct suboptimal weight functions in integral observation operators to minimize a sure estimation.
Yury V. Zaika
wiley +1 more source
Exact observability and controllability for linear neutral type systems [PDF]
, 2015 The problem of exact observability is analyzed for a wide class of neutral type systems by an infinite dimensional approach. The duality with the exact controllabil-ity problem is the main tool.
Rabah, Rabah, Sklyar, Grigory
core +4 more sources
Existence of solutions and controllability of nonlinear integrodifferential systems in Banach spaces
Mathematical Problems in Engineering, Volume 2003, Issue 2, Page 65-79, 2003., 2003 We prove the existence of mild and strong solutions of integrodifferential equations with nonlocal conditions in Banach spaces. Further sufficient conditions for the controllability of integrodifferential systems are established. The results are obtained by using the Schauder fixed‐point theorem. Examples are provided to illustrate the theory.
K. Balachandran, J. Y. Park
wiley +1 more source
Approximate controllability of semilinear neutral systems in Hilbert spaces
International Journal of Stochastic Analysis, Volume 16, Issue 3, Page 233-242, 2003., 2003 The approximate controllability of semilinear neutral systems in Hilbert spaces is studied using the Schauder fixed point theorem. It is shown that the approximate controllability of the semilinear system under some conditions is implied by the approximate controllability of its linear part.
N. I. Mahmudov, S. Zorlu
wiley +1 more source
A hyperbolic system and the cost of null controllability for the Stokes system [PDF]
, 2014 This paper is devoted to study the cost of the null controllability for the Stokes system. Using the control transmutation method we show that the cost of driving the Stokes system to rest at time T is of order e^C/T when T -->0^+,i.e., the same order as
Chaves-Silva, F. W.
core +5 more sources
Local exact controllability of the diffusion equation in one dimension
Abstract and Applied Analysis, Volume 2003, Issue 14, Page 793-811, 2003., 2003 This paper establishes the local exact null controllability of the diffusion equation in one dimension using distributed controls in the case of the Dirichlet boundary value problem. Most of the techniques used in the course of the proof are borrowed from Barbu (2002).
Marius Beceanu
wiley +1 more source
Boundedness control sets for linear systems on Lie groups
Open Mathematics, 2018 Let Σ be a linear system on a connected Lie group G and assume that the reachable set 𝓐 from the identity element e ∈ G is open. In this paper, we give an algebraic condition to warrant the boundedness of the existent control set with a nonempty interior
Ayala Víctor, Todco María Torreblanca
doaj +1 more source
On controllability, parametrization, and output tracking of a linearized bioreactor model
Journal of Applied Mathematics, Volume 2003, Issue 5, Page 243-276, 2003., 2003 The paper deals with a distributed parameter system related to the so‐called fixed‐bed bioreactor. The original nonlinear partial differential system is linearized around the steady state. We find that the linearized system is not exactly controllable but it is approximatively controllable when certain algebraic equations hold.
J. Tervo, M. T. Nihtilä, P. Kokkonen
wiley +1 more source
On the Lyapunov equation in Banach spaces and applications to control problems
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 3, Page 155-166, 2002., 2002 By extending the Lyapunov equation A*Q + QA = −P to an arbitrary infinite‐dimensional Banach space, we give stability conditions for a class of linear differential systems. Relationship between stabilizability and exact null‐controllability is established.
Vu Ngoc Phat, Tran Tin Kiet
wiley +1 more source
Controllability of some bilinear and semilinear parabolic problems
Moroccan Journal of Pure and Applied Analysis, 2019 We present in this paper a survey of recent results on the controllability of the parabolic system governed by bilinear control. We first discuss the problem of global controllability which corresponds to the question of whether the solution of the ...
Khayar M. Jidou
doaj +1 more source